Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 7 - Confidence Intervals and Sample - Chapter Quiz - Page 410: 24

Answer

$7.03\lt\sigma\lt12.52$

Work Step by Step

Given $n=25,s=9$, at a 95% confidence and $df=24$ the critical values are $\chi^2_{left}=12.40 $ and $\chi_{right}^2=39.36 $ and the interval of the population standard deviation can be found as $\sqrt {\frac{(n-1)s^2}{\chi_{right}^2}}\lt\sigma\lt\sqrt {\frac{(n-1)s^2}{\chi_{left}^2}}$ which gives $7.03\lt\sigma\lt12.52$
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